Jax Spike of About.com described the song as "a perfect ode to melancholic memories that are sung with a seductive baby doll voice with lyrics like 'When I think that I am over you/I'm overpowered' right before a zigzagging electro beat comes into play.
"[3] Heather Phares of AllMusic stated, "With its sleek beats, bubbling synths, and nagging chorus, 'Overpowered' closely resembles a state-of-the-art pop single, but the way Murphy sings of science and oxytocin over a heart-fluttering harp is unmistakably her.
"[4] BBC Music's Sonja D'Cruze referred to the song as "a heady electronic anthem which tells the tale of getting consumed by the lust for an ex-lover, complete with a squelchy bassline and the minimalism of Casio kickdrums which are all secretly lifted by gentle harp and spacey synths.
"[5] Mike Barnes from musicOMH called the song "an unrelenting electro-pop gem that penetrates your skull faster than a high-velocity nail gun.
"[1] Pitchfork placed "Overpowered" at number 69 on its list of the Top 100 Tracks of 2007, further commenting, "Arty and smartly seductive, 'Overpowered' is a sublime reminder of the glory days of New Pop.